Elliptic equations with VMO a, b$\,\in L_{d}$, and c$\,\in L_{d/2}$
Analysis of PDEs
2020-08-18 v3 Classical Analysis and ODEs
Abstract
We consider elliptic equations with operators with being almost in VMO, and , , . We prove the solvability of in bounded -domains, , and of in the whole space for any . Weak uniqueness of the martingale problem associated with such operators is also obtained.
Cite
@article{arxiv.2004.01778,
title = {Elliptic equations with VMO a, b$\,\in L_{d}$, and c$\,\in L_{d/2}$},
author = {N. V. Krylov},
journal= {arXiv preprint arXiv:2004.01778},
year = {2020}
}
Comments
19 p, two references added, few glitches are corrected and numerous comments by Hongjie Dong are taken into account, this version is accepted by the Trans. AMS